Question

Solve for x:
square root of, 3, x, plus, 45, end square root, plus, 1, equals, 7
3x+45
​
+1=
7

Answer 1

Solve sqrt(3x + 45) + 1 = 7.

Step 1: isolate the square root:
sqrt(3x + 45) = 7 − 1 = 6

Step 2: square both sides:
3x + 45 = 36

Step 3: solve for x:
3x = 36 − 45 = −9
x = −3

Check: sqrt(3(−3) + 45) + 1 = sqrt(36) + 1 = 6 + 1 = 7, so x = −3 is valid.